Gravitational Waves in General Relativity V. An Exact Spherical Wave

Physics

Scientific paper

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Scientific paper

A construction is given for an exact solution of Einstem's empty space-time field equations representing an axially symmetric pulse wave with the properties that (i) the wave front is a sphere, outside of which all space-time is flat; (ii) a finite, expanding line singularity forms the axial diameter of this sphere. Because of (i), the solution would need to be generalized before a physical source could be introduced. The presence of radiation is confirmed by the fact that at a great distance from the centre of the wave the Riemann tensor is asymptotically of Petrov's canonical type II (with vanishing scalar invariants).

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